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210 lines
7.3 KiB
Markdown
210 lines
7.3 KiB
Markdown
---
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language: Q#
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contributors:
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- ["Vincent van Wingerden", "https://github.com/vivanwin"]
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- ["Mariia Mykhailova", "https://github.com/tcNickolas"]
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- ["Andrew Ryan Davis", "https://github.com/AndrewDavis1191"]
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- ["Alex Hansen", "https://github.com/sezna"]
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filename: LearnQSharp.qs
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---
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Q# is a high-level domain-specific language which enables developers to write quantum algorithms. Q# programs can be executed on a quantum simulator running on a classical computer and (in future) on quantum computers.
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```c#
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// Single-line comments start with //
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/////////////////////////////////////
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// 1. Quantum data types and operators
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// The most important part of quantum programs is qubits.
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// In Q# type Qubit represents the qubits which can be used.
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// This will allocate an array of two new qubits as the variable qs.
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operation QuantumDataTypes() : Unit {
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use qs = Qubit[2];
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// The qubits have internal state that you cannot access to read or modify directly.
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// You can inspect the current state of your quantum program
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// if you're running it on a classical simulator.
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// Note that this will not work on actual quantum hardware!
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Std.Diagnostics.DumpMachine();
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// If you want to change the state of a qubit
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// you have to do this by applying quantum gates to the qubit.
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H(qs[0]); // This changes the state of the first qubit
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// from |0⟩ (the initial state of allocated qubits)
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// to (|0⟩ + |1⟩) / sqrt(2).
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// qs[1] = |1⟩; - this does NOT work, you have to manipulate a qubit by using gates.
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// You can apply multi-qubit gates to several qubits.
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CNOT(qs[0], qs[1]);
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// You can also apply a controlled version of a gate:
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// a gate that is applied if all control qubits are in |1⟩ state.
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// The first argument is an array of control qubits,
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// the second argument is the target qubit.
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Controlled Y([qs[0]], qs[1]);
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// If you want to apply an anti-controlled gate
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// (a gate that is applied if all control qubits are in |0⟩ state),
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// you can use a library function.
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ApplyControlledOnInt(0, X, [qs[0]], qs[1]);
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// To read the information from the quantum system, you use measurements.
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// Measurements return a value of Result data type: Zero or One.
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// You can print measurement results as a classical value.
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Message($"Measured {M(qs[0])}, {M(qs[1])}");
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}
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/////////////////////////////////////
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// 2. Classical data types and operators
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function ClassicalDataTypes() : Unit {
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// Numbers in Q# can be stored in Int, BigInt or Double.
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let i = 1; // This defines an Int variable i equal to 1
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let bi = 1L; // This defines a BigInt variable bi equal to 1
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let d = 1.0; // This defines a Double variable d equal to 1
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// Arithmetic is done as expected, as long as the types are the same
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let n = 2 * 10; // = 20
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// Q# does not have implicit type cast,
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// so to perform arithmetic on values of different types,
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// you need to cast type explicitly
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let nd = Std.Convert.IntAsDouble(2) * 1.0; // = 20.0
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// Boolean type is called Bool
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let trueBool = true;
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let falseBool = false;
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// Logic operators work as expected
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let andBool = true and false;
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let orBool = true or false;
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let notBool = not false;
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// Strings
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let str = "Hello World!";
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// Equality is ==
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let x = 10 == 15; // is false
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// Range is a sequence of integers and can be defined like: start..step..stop
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let xi = 1..2..7; // Gives the sequence 1,3,5,7
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// Assigning new value to a variable:
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// by default all Q# variables are immutable;
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// if the variable was defined using let, you cannot reassign its value.
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// When you want to make a variable mutable, you have to declare it as such,
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// and use the set word to update value
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mutable xii = true;
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set xii = false;
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// You can create an array for any data type like this
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let xiii = [0.0, size = 10];
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// Getting an element from an array
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let xiv = xiii[8];
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// Assigning a new value to an array element
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mutable xv = [0.0, size = 10];
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set xv w/= 5 <- 1.0;
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}
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/////////////////////////////////////
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// 3. Control flow
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operation ControlFlow() : Unit {
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let a = 1;
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// If expressions support a true branch, elif, and else.
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if (a == 1) {
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// ...
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} elif (a == 2) {
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// ...
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} else {
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// ...
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}
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use qubits = Qubit[2];
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// For loops can be used to iterate over an array
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for qubit in qubits {
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X(qubit);
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}
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// Regular for loops can be used to iterate over a range of numbers
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for index in 0..Length(qubits) - 1 {
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X(qubits[index]);
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}
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// While loops are restricted for use in classical context only
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mutable index = 0;
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while (index < 10) {
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set index += 1;
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}
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let success_criteria = true;
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// Quantum equivalent of a while loop is a repeat-until-success loop.
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// Because of the probabilistic nature of quantum computing sometimes
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// you want to repeat a certain sequence of operations
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// until a specific condition is achieved; you can use this loop to express this.
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repeat {
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// Your operation here
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} until (success_criteria) // This could be a measurement to check if the state is reached
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fixup {
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// Resetting to the initial conditions, if required
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}
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}
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/////////////////////////////////////
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// 4. Putting it all together
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// Q# code is written in operations and functions
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operation ApplyXGate(source : Qubit) : Unit {
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X(source);
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}
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// If the operation implements a unitary transformation, you can define
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// adjoint and controlled variants of it.
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// The easiest way to do that is to add "is Adj + Ctl" after Unit.
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// This will tell the compiler to generate the variants automatically.
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operation ApplyXGateCA(source : Qubit) : Unit is Adj + Ctl {
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X(source);
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}
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// Now you can call Adjoint ApplyXGateCA and Controlled ApplyXGateCA.
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// To run Q# code, you can put @EntryPoint() before the operation you want to run first
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operation XGateDemo() : Unit {
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use q = Qubit();
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ApplyXGate(q);
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}
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// Here is a simple example: a quantum random number generator.
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// We will generate a classical array of random bits using quantum code.
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// Callables (functions or operations) named `Main` are used as entry points.
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operation Main() : Unit {
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mutable bits = [0, size = 5]; // Array we'll use to store bits
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use q = Qubit();
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{
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// Allocate a qubit
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for i in 0..4 {
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// Generate each bit independently
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H(q); // Hadamard gate sets equal superposition
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let result = M(q); // Measure qubit gets 0|1 with 50/50 prob
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let bit = result == Zero ? 0 | 1; // Convert measurement result to integer
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set bits w/= i <- bit; // Write generated bit to an array
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}
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}
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Message($"{bits}"); // Print the result
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}
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```
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## Further Reading
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The Quantum Katas ([repo](https://github.com/microsoft/qsharp/tree/main/katas) [hosted tutorials](https://quantum.microsoft.com/en-us/tools/quantum-katas) offer great self-paced tutorials and programming exercises to learn quantum computing and Q#.
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[Q# Documentation](https://docs.microsoft.com/quantum/) is official Q# documentation, including language reference and user guides.
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